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Rotation of Asymmetric Top01:11

Rotation of Asymmetric Top

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By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if there is no spherical symmetry. Since most rigid bodies are not spherically symmetric, these require special treatment.
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Biological membranes show uneven distribution of different types of lipids in the inner and outer layers, resulting in transverse asymmetric membranes. The treatment of the erythrocyte membrane with the enzyme phospholipase confirmed the asymmetric nature of the lipid bilayer. The enzyme hydrolyzes lipids into fatty acids and hydrophilic groups. The phospholipase acts only on the outer layer of the membrane, while the inner layer remains intact. The phospholipase treatment resulted in 80%...
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Catalytic hydrogenation of alkenes is a transition-metal catalyzed reduction of the double bond using molecular hydrogen to give alkanes. The mode of hydrogen addition follows syn stereochemistry.
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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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Microtubule function and architecture are regulated by an array of specialized proteins called microtubule-associated proteins or MAPs. These proteins are widespread across different organisms and have conserved protein motifs, like the multi-TOG domain for tubulin binding found in the CLASP family of MAPs. Some MAPs are lineage-specific based on their conserved domains. Their functions depend upon the cytoskeletal architecture and cell type they are located within. In-plant cells, a specific...
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Topographic maps represent the Earth's surface features using contour lines, which connect points of equal elevation to create a two-dimensional representation of three-dimensional terrain. Creating a topographic map requires a systematic approach.Begin by plotting a scaled grid and marking intersections corresponding to the survey's elevation data points. Assign elevation values at these intersections to build the base map. Next, determine contour levels using a consistent contour interval,...
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Updated: Jan 22, 2026

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion
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Asymmetric Mapping Quantization for Nearest Neighbor Search.

Weixiang Hong, Xueyan Tang, Jingjing Meng

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |June 29, 2019
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    Summary
    This summary is machine-generated.

    We introduce Asymmetric Mapping Quantization (AMQ), a new method for efficient approximate nearest neighbor (ANN) search. AMQ overcomes limitations of existing techniques by transforming distance calculations, improving performance in large-scale datasets.

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    Area of Science:

    • Computer Science
    • Machine Learning
    • Artificial Intelligence

    Background:

    • Nearest neighbor search is crucial for computer vision and machine learning.
    • Linear scan methods are inefficient for large-scale, high-dimensional data.
    • Approximate nearest neighbor (ANN) search is a key area of research.

    Purpose of the Study:

    • To propose a novel addition-based vector quantization algorithm for efficient ANN search.
    • To address the limitations of existing methods in handling database vector norms.
    • To enable ANN search on very large datasets through distributed learning.

    Main Methods:

    • Developed Asymmetric Mapping Quantization (AMQ) using addition-based vector quantization.
    • Transformed L-2 distance computation to inner product similarity by using different mapping functions for query and database vectors.
    • Proposed Distributed Asymmetric Mapping Quantization (DAMQ) for distributed learning on large datasets.

    Main Results:

    • AMQ efficiently conducts approximate nearest neighbor search.
    • The proposed method avoids the need to evaluate the norm of database vectors, a common issue in other techniques.
    • DAMQ demonstrates scalability for very large datasets.

    Conclusions:

    • AMQ offers an efficient and effective solution for approximate nearest neighbor search.
    • The novel mapping strategy overcomes previous limitations in addition-based quantization.
    • DAMQ extends AMQ's applicability to massive datasets, validated by experiments in ANN search and image retrieval.